All Geometry Formulas
Formulas Used in Candle Making
Author: Mike Smith
Do you want to know how to figure out how much wax you will need? Do you want to know how to figure out how much scent your candle will need? Do you know how to determine a candle's burn time? Details inside!
It's time to put on our thinking caps and do some math! Remember geometry class and all of those strange formulas? It's time to use them. I will tell you how to figure out how much wax you will need for your candles.
How to figure out how much wax you're going to need.
First we will calculate a square or rectangle candle. We need to determine the volume of the shape. You simply multiply the height by the width by the length. This will tell you how many cubic inches that space occupies.
Let's say we have a square candle that is 4 inches high, 4 inches wide and 4 inches thick.
We would multiply the width, times the height, times the depth or thickness. So it would look like this. 4 x 4 = 16, then multiply 16 x 4 = 64.
64 what? 64 cubic inches. That doesn't seem to help does it, does it?
Okay in general, wax is 29.6 cubic inches per pound. So now we need to divide 64 (our total cubic inches ) by 29.6 ( the amount of cubic inches in a pound of wax ) and we get 2.02 pounds or just over 32 ounces.
Confused yet?
The formula for a cylinder or round pillar candle is even better. The formula is Pi times radius squared times height. I am getting a headache.;)
Okay back to school.
Pi = 3.14
Radius = half of the diameter or width of the candle.
So if we have a round cylinder pillar that is 4 inches tall and 4 inches in diameter, we would multiply 3.14 ( Pi ) times the radius squared. Remember the radius is half of the diameter, which was 4 inches. So half is 2.
We multiply 2 x 2 = 4. This is the radius squared.
Then we multiply 3.14 x 4 = 12.56.
We now take that 12.56 and multiply it by the height which was 4.
12.56 x 4 = 50.24. So this candle takes up 50.24 cubic inches.
Remember wax is 29.6 cubic inches per pound. So now we divide 50.24 by 29.6 and we get 1.69 pounds. Whew! That was easy. NOT!;)
Okay now that I have put you through basic geometry again, I will show you the easy way to figure out how much wax you need. That's right, the easy way.
You will need a digital scale for this method.
Weigh your mold.
Fill your mold with water and weigh it again. Subtract the weight of the mold from the weight of the mold full of water and you have exactly how much wax is needed.
For instance this silicone mold weighs 1 pound. We fill it with water and now it weighs 3 pounds. So the difference is 2 pounds, that's how much wax is needed.
Much easier!
Always use an ounce or two more wax than is required. If you come up short you will have a hard time matching the color. If you have a little more your okay. Remember too that most wax shrinks when it melts. So it will appear that you have quite a bit of wax left over. This is needed for the second pour or Repour.
Whats a good way to remember these geometry formulas?
I’m learning about the postulates 5-11 and I’m having a really hard time remembering them all. I’ve tired to study them over and over but thats not sticking with me..I can look at the picture and know the postulate but my teacher is making us say what the postulate means…Like Postulate 5 (through any 2 points there exists exactly one line) those things
Anyway..do you have some advice about how to remember the postulate definitions?
can you please tell me all the geometry formulas and step by step on how to solve them pleaseeeeeeeeeeeeeee?
Umm the person to the first answer i got.
#1 I did.
#2 I look at my geo book almost every day
#3 They only show the formula but not how to solve em!
Yes.
Consider a 40,000km steel pipe that forms a ring to fit snugly all around the circumfrence of the Earth.?
Suppose people along its lenth breathe on it so as to raise its temp 1 Celsius degree. The pipe gets longer. It is no longer snug how high does it stand above the ground level? To simplify consider only the expansion of its radial distance from the center of the earth, and apply the geometry formula that relates circumfrence C and radius r, C= 2pie r
What are all the formulas in Geometry?
It depends on the linear thermal expansion coefficient of the pipe. If this coefficient is α/℃, the length of the pipe will expand by a factor of 1+α. Assuming that it is constrained to remain circular, since the circumference of a circle is proportional to its radius, the radius of the circle will expand by the same factor, 1+α. If the initial radius is R, the final radius will therefore be R+αR, so the pipe will be raised above the ground by a distance αR. Taking an approximate value of α=0.000012 for steel and R to be the equatorial radius of the Earth, 6,378 km, we get a height of αR=76.5 m.
I understand what you are saying.
There are loads of lists of formula available but even the web sites such as ‘mathsisfun’ don’t give proofs.
There is one statement that you might find useful
the number pi is equal to circumference/diameter
as long as the circumference and diameter are from the same circle the ratio gives PI which is always
3 . 14159….
There is also Pythagoras theorem
For any right angled triangles squares are constructed on the three sides
The squares are divided into equal sized blocks [maybe cms] and counted
It can be shown by this construction method that the square on the hypotenuse is equal to the sum of the squares on the other two sides
This how it was proven initially by the Ancient Greeks
to many to post…..they are all on this site
http://www.geom.uiuc.edu/docs/reference/CRC-formulas/
Memorizing geometry formulas?
I’m curious if anyone knows any acronyms for all the basic geometry formulas. Something like Sohcahtoa, or music related, every good boy deserves fudge. It will make memorizing a lot easier.